Renormalized vacuum polarization and stress tensor on the horizon of a Schwarzschild black hole threaded by a cosmic string

Adrian C Ottewill (1) , Peter Taylor (1)

1 School of Mathematical Sciences [Dublin]

We calculate the renormalized vacuum polarization and stress tensor for a massless, arbitrarily coupled scalar field in the Hartle-Hawking vacuum state on the horizon of a Schwarzschild black hole threaded by an infinte straight cosmic string. This calculation relies on a generalized Heine identity for non-integer Legendre functions which we derive without using specific properties of the Legendre functions themselves.

Mots clés: 04.62.+v; 04.70.Dy; 11.27.+d

Adrian C Ottewill, Peter Taylor. Renormalized vacuum polarization and stress tensor on the horizon of a Schwarzschild black hole threaded by a cosmic string. Classical and Quantum Gravity, 2011, 28 (1), pp.15007. ⟨10.1088/0264-9381/28/1/015007⟩. ⟨hal-00657597⟩